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Finding the Third Proportional to 84,223.13 and 181,936.13

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Solution

The third proportional to 84,223.13 and 181,936.13 is: 393,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,223.13 : 181,936.13 = 181,936.13 : x
  2. Step 2: Convert to fraction form
    84,223.13/181,936.13 = 181,936.13/x
  3. Step 3: Cross multiply
    84,223.13x = 181,936.13 × 181,936.13
  4. Step 4: Simplify right side
    84,223.13x = 33,100,753,580.02
  5. Step 5: Solve for x
    x = 33,100,753,580.02/84,223.13
  6. Step 6: Final answer
    x = 393,012.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.